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Weixiao Tuo,Xingfei Li,Yue Ji,Tengfei Wu,Ziming Xie 한국정밀공학회 2020 International Journal of Precision Engineering and Vol.21 No.5
In this paper, an analytical compliance model for right circle fl exure hinge (RCFH) is presented with the stress concentrationin consideration. The stress concentration caused by changes in RCFH’s cross-section usually happens at the weakestpoint. It has been shown to seriously aff ect RCFH’s compliance calculation. Based on the virtual work theory, superpositionrelationship of the deformation, as well as Castigliano’s second theorem, RCFH’s analytical compliance model consideringthe stress concentration eff ect is established. The model is calculated as a series of closed-form equations which are relatedwith geometric dimensions and employed material. Complicated defi nite integrals existing in these compliance equations areproved to be correctly calculated through comparisons with other literatures. Finally, in order to examine the validity of theestablished model, fi nite element analysis (FEA) is conducted. The relative errors between the theoretical values obtainedby the established model and FEA results are found within 20% for a wide range of geometric dimensions.